This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A109543 #34 Sep 08 2022 08:45:19
%S A109543 1,1,1,1,1,3,5,7,11,17,27,43,67,105,165,259,407,639,1003,1575,2473,
%T A109543 3883,6097,9573,15031,23601,37057,58185,91359,143447,225233,353649,
%U A109543 555281,871873,1368969,2149483,3375005,5299255,8320611,13064585,20513323,32208939
%N A109543 a(n) = a(n-1) + a(n-3) + a(n-5), with a(1..5) = 1.
%H A109543 Vincenzo Librandi, <a href="/A109543/b109543.txt">Table of n, a(n) for n = 0..1000</a>
%H A109543 Peter Borwein and Kevin G. Hare, <a href="http://docserver.carma.newcastle.edu.au/225/2/00_148-Borwein-Hare.pdf">Some computations on Pisot and Salem numbers</a>, 2000, table 1, p. 7.
%H A109543 Peter Borwein and Kevin G. Hare, <a href="https://doi.org/10.1090/S0025-5718-01-01336-9">Some computations on the spectra of Pisot and Salem numbers</a>, Math. Comp. 71 (2002), 767-780.
%H A109543 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,0,1).
%F A109543 G.f.: (1 - x^3 - x^4) / (1 - x - x^3 - x^5). - _Colin Barker_, Dec 17 2017
%t A109543 LinearRecurrence[{1, 0, 1, 0, 1}, {1, 1, 1, 1, 1}, 60] (* _Vladimir Joseph Stephan Orlovsky_, Feb 18 2012 *)
%o A109543 (PARI) Vec((1 - x^3 - x^4) / (1 - x - x^3 - x^5) + O(x^50)) \\ _Colin Barker_, Dec 17 2017
%o A109543 (PARI) my(p=Mod('x,'x^5-'x^4-'x^2-1)); a(n) = vecsum(Vec(lift(p^n))); \\ _Kevin Ryde_, Jan 15 2021
%o A109543 (Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1 - x^3-x^4)/(1-x-x^3-x^5))); // _G. C. Greubel_, Nov 03 2018
%Y A109543 Cf. A107479, A107480, A109538, A109544, A114749, A125950, A130844, A143335, A147851.
%K A109543 nonn,easy
%O A109543 0,6
%A A109543 _Roger L. Bagula_, Jun 20 2005